diff options
Diffstat (limited to '2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_expint.h')
-rw-r--r-- | 2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_expint.h | 167 |
1 files changed, 167 insertions, 0 deletions
diff --git a/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_expint.h b/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_expint.h new file mode 100644 index 00000000..4005f72a --- /dev/null +++ b/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_expint.h @@ -0,0 +1,167 @@ +/* specfunc/gsl_sf_expint.h + * + * Copyright (C) 2007 Brian Gough + * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002 Gerard Jungman + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 3 of the License, or (at + * your option) any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +/* Author: G. Jungman */ + +#ifndef __GSL_SF_EXPINT_H__ +#define __GSL_SF_EXPINT_H__ + +#include <gsl/gsl_sf_result.h> + +#undef __BEGIN_DECLS +#undef __END_DECLS +#ifdef __cplusplus +# define __BEGIN_DECLS extern "C" { +# define __END_DECLS } +#else +# define __BEGIN_DECLS /* empty */ +# define __END_DECLS /* empty */ +#endif + +__BEGIN_DECLS + + +/* E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ] + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_E1_e(const double x, gsl_sf_result * result); +double gsl_sf_expint_E1(const double x); + + +/* E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infinity}] ] + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_E2_e(const double x, gsl_sf_result * result); +double gsl_sf_expint_E2(const double x); + + +/* E_n(x) := Re[ Integrate[ Exp[-xt]/t^n, {t,1,Infinity}] ] + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_En_e(const int n, const double x, gsl_sf_result * result); +double gsl_sf_expint_En(const int n, const double x); + + +/* E_1_scaled(x) := exp(x) E_1(x) + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_E1_scaled_e(const double x, gsl_sf_result * result); +double gsl_sf_expint_E1_scaled(const double x); + + +/* E_2_scaled(x) := exp(x) E_2(x) + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_E2_scaled_e(const double x, gsl_sf_result * result); +double gsl_sf_expint_E2_scaled(const double x); + +/* E_n_scaled(x) := exp(x) E_n(x) + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_En_scaled_e(const int n, const double x, gsl_sf_result * result); +double gsl_sf_expint_En_scaled(const int n, const double x); + + +/* Ei(x) := - PV Integrate[ Exp[-t]/t, {t,-x,Infinity}] + * := PV Integrate[ Exp[t]/t, {t,-Infinity,x}] + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_Ei_e(const double x, gsl_sf_result * result); +double gsl_sf_expint_Ei(const double x); + + +/* Ei_scaled(x) := exp(-x) Ei(x) + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_expint_Ei_scaled_e(const double x, gsl_sf_result * result); +double gsl_sf_expint_Ei_scaled(const double x); + + +/* Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}] + * + * exceptions: GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_Shi_e(const double x, gsl_sf_result * result); +double gsl_sf_Shi(const double x); + + +/* Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ] + * + * x != 0.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW + */ +int gsl_sf_Chi_e(const double x, gsl_sf_result * result); +double gsl_sf_Chi(const double x); + + +/* Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}] + * + * x >= 0.0 + * exceptions: GSL_EDOM + */ +int gsl_sf_expint_3_e(const double x, gsl_sf_result * result); +double gsl_sf_expint_3(double x); + + +/* Si(x) := Integrate[ Sin[t]/t, {t,0,x}] + * + * exceptions: none + */ +int gsl_sf_Si_e(const double x, gsl_sf_result * result); +double gsl_sf_Si(const double x); + + +/* Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}] + * + * x > 0.0 + * exceptions: GSL_EDOM + */ +int gsl_sf_Ci_e(const double x, gsl_sf_result * result); +double gsl_sf_Ci(const double x); + + +/* AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}] + * + * + * exceptions: + */ +int gsl_sf_atanint_e(const double x, gsl_sf_result * result); +double gsl_sf_atanint(const double x); + + +__END_DECLS + +#endif /* __GSL_SF_EXPINT_H__ */ |